Bestvina-Brady Groups with Polynomial Dehn Functions Dr. Yu-Chan Chang University of Wisconsin-Madison Visiting Assistant Professor “Bestvina–Brady groups are subgroups of right-angled Artin groups, and they satisfy quartic Dehn functions. There are examples of Bestvina–Brady groups whose Dehn functions are linear,... Read More
Radar Observations and Simulations of the Level of Maximum Detrainment Dr. Gretchen Mullendore University of North Dakota Professor of Atmospheric Sciences “Parcel theory is the basis for many of convective indices (e.g., CAPE, LNB) that are used extensively throughout the... Read More
Gini Shortfall: A Coherent Risk Measure Dr. Ricardas Zitikis Western University Professor of Statistical and Actuarial Sciences “For quite some time, the value-at-risk (VaR) was an appealing risk measure, and even an industry and regulatory standard for calculating risk capital... Read More
Residual Finiteness of Certain Three Generator Artin Groups Dr. Kasia Jankiewicz University of Chicago L.E. Dickson Instructor “Despite the simple looking presentation much is unknown about Artin groups. However, some questions can be answered in suitable classes of Artin groups.... Read More
An Axiomatic Foundation for the Expected Shortfall Dr. Ricardas Zitikis Western University Professor of Statistical and Actuarial Sciences “The Value-at-Risk (VaR) and the Expected Shortfall (ES) are the most popular risk measures used in banking and insurance regulation. According to... Read More
Translation-like Actions of Nilpotent Groups Dr. Mark Pengitore Ohio State University Zassenhaus Assistant Professor “Whyte introduced translation-like actions of groups which as a geometric generalization of subgroup containment. He then proved a geometric reformulation of the von Neumann conjecture by... Read More
How Do Calculators Calculate? Dr. Bruce Haven Edwards University of Florida Professor of Mathematics “What happens when you press the sine key on your calculator? How does the calculator quickly produce the values of trigonometric functions? You might be surprised... Read More
Discrete Dynamical Systems Mr. John Jurkiewicz University of Wisconsin-Milwaukee PhD Graduate Student – Teaching Assistant “We will discuss discrete-time dynamical systems, giving definitions and some examples. We will culminate by stating without proof Sarkovsky’s Theorem on the periodicity of points... Read More
Allocations of Risk Capital: A Not So Simple View From the Simplex Dr. Jianxi Su Purdue University Assistant Professor of Actuarial Science “In this talk, we connect the allocation of risk capital to a general class of Dirichlet distributions defined... Read More
More Examples of Pseudo-Collars on High-Dimensional Manifolds Dr. Jeffrey Rolland Milwaukee School of Engineering Adjunct Instructor of Mathematics “Whyte introduced translation-like actions of groups which as a geometric generalization of subgroup containment. He then proved a geometric reformulation of the... Read More